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3 years ago

What is the simplest form for the fractions 12/30,12/20 and 21/35

Mathematics

1 answer:

Yuki888 [10]3 years ago

6 0

Simplest form of:
12/30=2/5
12/20=3/5
21/35=3/5

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Question 3 (1 point)<br> Find the value of x for the right triangle.<br> 15<br> 30°<br> Х

Marina86 [1]

Answer:

x = 8.7

Step-by-step explanation:

Reference angle = 30°

Opposite side length = x

Adjacent side length = 15

Apply trigonometric function, TOA:

Tan 30° = Opp/Adj

Plug in the values

Tan 30° = x/15

Multiply both sides by 15

15*Tan 30° = x

8.66025404 = x

x = 8.7 (nearest tenth)

6 0

2 years ago

Four percent of Jennie's skin cells were burned when she escaped from a fire. If 3.7 x 10^10 of her skin cells were burned then,

baherus [9]

Answer:

355.2

Step-by-step explanation:

Given:

Four percent of Jennie's skin cells were burned

Total skin cells having Jennie = 3.7 x 10^10

= $3.7\times10\times10 = 370$

To find:

How man skin cells were not burned ?

Solution:

Total skin cells having Jennie = 370

Percent of Jennie's skin cells were burned = 4%

Skin cells burned from a fire = $370 \ of 4\%$

= $370\times\frac{4}{100} =\frac{1480}{100}$

= $14.8$

Remaining skin cells which not burned = 370 - 14.8 = 355.2

Therefore, 355.2 skin cells were not burned.

8 0

3 years ago

What is the phase of y= -3cos (3x-pi) +5

ratelena [41]

Answer:

$- \frac{\pi}{3}$

Step-by-step explanation:

Given

$y = -3\cos(3x - \pi) + 5$

Required

The phase

We have:

$y = -3\cos(3x - \pi) + 5$

Rewrite as:

$y = -3\cos(3(x - \frac{\pi}{3})) + 5$

A cosine function is represented as:

$y = A\cos(B(x + C)) + D$

Where:

$C \to$ Phase

By comparison:

$C = - \frac{\pi}{3}$

Hence, the phase is: $- \frac{\pi}{3}$

3 0

2 years ago

I need help asap please

rjkz [21]

Answer:

$x = -\frac{3}{2}$ or $x = 1$

Step-by-step explanation:

Using the zero product property, first step is to set the given equation, $2x^2 + x - 1 = 2$ , to zero. Then factorise the left side.

Thus,

$2x^2 + x - 1 = 2$

Subtract 2 from both sides

$2x^2 + x - 1 - 2 = 2 - 2$

$2x^2 + x - 3 = 0$

Factorise the left side

$2x^2 + 3x - 2x - 3 = 0$

$x(2x + 3) - 1(2x + 3) = 0$

$(x - 1)(2x + 3) = 0$

Find the solution

$x - 1 = 0$

$2x + 3 = 0$

$x = 1$

$2x + 3 = 0$

$2x = -3$

$x = -\frac{3}{2}$

The answer is: $x = 1$ or $x = -\frac{3}{2}$

3 0

3 years ago

How can numbers be expressed, ordered and compared?

USPshnik [31]

Numbers can be expressed, ordered and compared by a lot of mathematical principles, properties, models and paradigms. There are different properties of numbers to associate, group and distribute numbers. For example commutative property of addition, 1 + 2 = 3 can be 3 = 1 + 2. Moreover, numbers can be expressed by mathematical form, thus 100 wherein 1 is in the place order of hundreds. And so on… other examples can be mathematical symbols or inequality to compare numbers. For example, 1 > 2. One is less than 2.

6 0

3 years ago